Abstract.
Within a recently introduced model based on the bond-fluctuation dynamics, we study the viscoelastic behaviour of a polymer solution at the gelation threshold. We here present the results of the numerical simulation of the model on a cubic lattice: the percolation transition, the diffusion properties and the time autocorrelation functions have been studied. From both the diffusion coefficients and the relaxation times critical behaviour a critical exponent k for the viscosity coefficient has been extracted: the two results are comparable within the errors giving , in close agreement with the Rouse model prediction and with some experimental results. In the critical region below the transition threshold the time autocorrelation functions show a long-time tail which is well fitted by a stretched exponential decay.
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Received 20 December 1999 and Received in final form 18 February 2000
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Del Gado, E., de Arcangelis, L. & Coniglio, A. Viscosity critical behaviour at the gel point in a 3d lattice model. Eur. Phys. J. E 2, 359–365 (2000). https://doi.org/10.1007/s101890050018
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DOI: https://doi.org/10.1007/s101890050018